This files contains an example of tuning a Logistic Regression model with BayesSearchCV

import pickle
import time

import helpsk as hlp
import pandas as pd
import numpy as np
import plotly.express as px
from sklearn.impute import SimpleImputer
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import StandardScaler, MinMaxScaler, OneHotEncoder

import plotly.io as pio
pio.renderers.default='notebook'

Load Data

with open('../X_train.pkl', 'rb') as handle:
    X_train = pickle.load(handle)

with open('../y_train.pkl', 'rb') as handle:
    y_train = pickle.load(handle)

hlp.pandas.numeric_summary(X_train)

	# of Non-Nulls	# of Nulls	% Nulls	# of Zeros	% Zeros	Mean	St Dev.	Coef of Var	Skewness	Kurtosis	Min	10%	25%	50%	75%	90%	Max
duration	760	40	5.0%	0	0.0%	21.0	11.7	0.6	1.0	0.6	4.0	9.0	12.0	18.0	24.0	36.0	60.0
credit_amount	800	0	0.0%	38	5.0%	3,203.9	2,932.3	0.9	1.9	3.9	0.0	753.9	1,300.8	2,236.5	3,951.5	7,394.6	18,424.0
installment_commitment	800	0	0.0%	0	0.0%	3.0	1.1	0.4	-0.5	-1.2	1.0	1.0	2.0	3.0	4.0	4.0	4.0
residence_since	800	0	0.0%	0	0.0%	2.9	1.1	0.4	-0.3	-1.4	1.0	1.0	2.0	3.0	4.0	4.0	4.0
age	800	0	0.0%	0	0.0%	35.6	11.4	0.3	1.0	0.7	19.0	23.0	27.0	33.0	42.0	52.0	75.0
existing_credits	800	0	0.0%	0	0.0%	1.4	0.6	0.4	1.3	1.6	1.0	1.0	1.0	1.0	2.0	2.0	4.0
num_dependents	800	0	0.0%	0	0.0%	1.1	0.3	0.3	2.0	2.1	1.0	1.0	1.0	1.0	1.0	2.0	2.0

hlp.pandas.non_numeric_summary(X_train)

	# of Non-Nulls	# of Nulls	% Nulls	Most Freq. Value	# of Unique	% Unique
checking_status	763	37	4.6%	no checking	4	0.5%
credit_history	800	0	0.0%	existing paid	5	0.6%
purpose	800	0	0.0%	radio/tv	10	1.2%
savings_status	800	0	0.0%	<100	5	0.6%
employment	800	0	0.0%	1<=X<4	5	0.6%
personal_status	800	0	0.0%	male single	4	0.5%
other_parties	800	0	0.0%	none	3	0.4%
property_magnitude	800	0	0.0%	car	4	0.5%
other_payment_plans	800	0	0.0%	none	3	0.4%
housing	800	0	0.0%	own	3	0.4%
job	800	0	0.0%	skilled	4	0.5%
own_telephone	800	0	0.0%	none	2	0.2%
foreign_worker	800	0	0.0%	yes	2	0.2%

y_train[0:10]

array([1, 1, 0, 1, 0, 1, 0, 1, 1, 0])

np.unique(y_train, return_counts=True)

(array([0, 1]), array([559, 241]))

np.unique(y_train, return_counts=True)[1] / np.sum(np.unique(y_train, return_counts=True)[1])

array([0.69875, 0.30125])

skopt.BayesSearchCV

https://scikit-optimize.github.io/stable/auto_examples/sklearn-gridsearchcv-replacement.html

search_space = hlp.sklearn_search.ClassifierSearchSpace(
    data=X_train,
    models=[hlp.sklearn_search.ClassifierSearchSpaceModels.LogisticRegression],
    iterations=[50],
    random_state=42,
)

# pip install scikit-optimize
from skopt import BayesSearchCV
#from skopt.space import Real, Categorical, Integer
from sklearn.model_selection import RepeatedKFold

bayes_search = BayesSearchCV(
    estimator=search_space.pipeline(),
    search_spaces=search_space.search_spaces(),
    cv=RepeatedKFold(n_splits=5, n_repeats=2),
    scoring='roc_auc',
    n_jobs=-1,
    verbose=1,
    random_state=42,
)

start_time = time.time()
bayes_search.fit(X_train, y_train)
elapsed_time = time.time() - start_time

print(f"Elapsed time to run BayesSearchCV: {elapsed_time:.3f} seconds; {elapsed_time / 60:.1f} minutes")

Elapsed time to run BayesSearchCV: 56.335 seconds; 0.9 minutes

print(bayes_search.best_score_)

0.7736194546305393

print(bayes_search.best_params_)

OrderedDict([('model', LogisticRegression(C=0.1749996766322668, max_iter=1000, random_state=42)), ('model__C', 0.1749996766322668), ('prep__non_numeric__encoder__transformer', OneHotEncoder(handle_unknown='ignore')), ('prep__numeric__imputer__transformer', SimpleImputer()), ('prep__numeric__scaler__transformer', StandardScaler())])

Results

results = hlp.sklearn_eval.MLExperimentResults.from_sklearn_search_cv(
    searcher=bayes_search,                                     
    higher_score_is_better = True,
    parameter_name_mappings = search_space.param_name_mappings()
)

results.to_yaml_file(yaml_file_name = 'Run 1 - Logistic Regression - BayesSearchCV.yaml')

results = hlp.sklearn_eval.MLExperimentResults.from_yaml_file(yaml_file_name = 'Run 1 - Logistic Regression - BayesSearchCV.yaml')

Best Scores/Params

results.best_score

0.7736194546305393

results.best_params

{'model': 'LogisticRegression()',
 'C': 0.1749996766322668,
 'imputer': 'SimpleImputer()',
 'scaler': 'StandardScaler()',
 'encoder': 'OneHotEncoder()'}

results.to_formatted_dataframe(num_rows=100, include_rank=True)

rank	roc_auc Mean	roc_auc 95CI.LO	roc_auc 95CI.HI	C	imputer	scaler	encoder
1	0.774	0.745	0.802	0.175	SimpleImputer()	StandardScaler()	OneHotEncoder()
2	0.772	0.746	0.797	0.175	SimpleImputer()	StandardScaler()	OneHotEncoder()
3	0.771	0.744	0.799	0.046	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
4	0.771	0.755	0.786	0.238	SimpleImputer()	StandardScaler()	OneHotEncoder()
5	0.771	0.750	0.791	0.022	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
6	0.770	0.740	0.801	0.078	SimpleImputer()	StandardScaler()	OneHotEncoder()
7	0.770	0.750	0.791	0.284	SimpleImputer()	StandardScaler()	OneHotEncoder()
8	0.767	0.745	0.789	0.109	SimpleImputer()	StandardScaler()	OneHotEncoder()
9	0.767	0.736	0.797	1.548	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
10	0.767	0.739	0.794	0.240	SimpleImputer()	StandardScaler()	OneHotEncoder()
11	0.766	0.752	0.780	1.596	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
12	0.766	0.745	0.787	1.137	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
13	0.766	0.740	0.791	0.141	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
14	0.766	0.743	0.788	0.213	SimpleImputer()	StandardScaler()	OneHotEncoder()
15	0.765	0.753	0.777	0.099	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
16	0.765	0.733	0.797	1.593	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
17	0.764	0.738	0.789	0.234	SimpleImputer()	StandardScaler()	OneHotEncoder()
18	0.764	0.737	0.790	0.035	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
19	0.763	0.748	0.779	22.376	SimpleImputer(strategy='median')	MinMaxScaler()	OneHotEncoder()
20	0.762	0.739	0.785	3.170	SimpleImputer()	StandardScaler()	OneHotEncoder()
21	0.762	0.726	0.798	<NA>	SimpleImputer()	StandardScaler()	OneHotEncoder()
22	0.762	0.735	0.789	0.769	SimpleImputer()	StandardScaler()	OneHotEncoder()
23	0.762	0.732	0.792	0.454	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
24	0.760	0.737	0.782	99.780	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
25	0.759	0.725	0.794	99.886	SimpleImputer(strategy='median')	StandardScaler()	OneHotEncoder()
26	0.759	0.741	0.777	0.307	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
27	0.758	0.730	0.787	0.158	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
28	0.758	0.724	0.792	0.005	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
29	0.758	0.735	0.782	0.000	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
30	0.757	0.742	0.773	99.531	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
31	0.756	0.740	0.773	0.010	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
32	0.756	0.729	0.782	0.000	SimpleImputer(strategy='median')	MinMaxScaler()	OneHotEncoder()
33	0.754	0.718	0.790	0.000	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
34	0.753	0.727	0.779	0.001	SimpleImputer(strategy='median')	MinMaxScaler()	OneHotEncoder()
35	0.753	0.724	0.782	99.886	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
36	0.752	0.717	0.787	32.731	SimpleImputer()	StandardScaler()	OneHotEncoder()
37	0.752	0.725	0.779	0.005	SimpleImputer()	StandardScaler()	OneHotEncoder()
38	0.752	0.725	0.779	22.913	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	OneHotEncoder()
39	0.748	0.730	0.766	0.000	SimpleImputer()	MinMaxScaler()	OneHotEncoder()
40	0.732	0.714	0.751	0.000	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
41	0.732	0.708	0.756	0.403	SimpleImputer(strategy='median')	MinMaxScaler()	CustomOrdinalEncoder()
42	0.732	0.703	0.760	0.003	SimpleImputer(strategy='median')	StandardScaler()	CustomOrdinalEncoder()
43	0.731	0.708	0.754	99.935	SimpleImputer(strategy='median')	MinMaxScaler()	CustomOrdinalEncoder()
44	0.731	0.710	0.752	3.489	SimpleImputer(strategy='median')	StandardScaler()	CustomOrdinalEncoder()
45	0.730	0.711	0.748	99.180	SimpleImputer(strategy='median')	StandardScaler()	CustomOrdinalEncoder()
46	0.728	0.695	0.762	0.108	SimpleImputer(strategy='most_frequent')	StandardScaler()	CustomOrdinalEncoder()
47	0.728	0.698	0.759	0.000	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
48	0.722	0.703	0.740	0.000	SimpleImputer()	StandardScaler()	CustomOrdinalEncoder()
49	0.720	0.696	0.743	0.000	SimpleImputer(strategy='most_frequent')	StandardScaler()	CustomOrdinalEncoder()
50	0.704	0.677	0.732	0.000	SimpleImputer(strategy='most_frequent')	MinMaxScaler()	CustomOrdinalEncoder()
51	0.700	0.658	0.742	0.000	SimpleImputer(strategy='median')	MinMaxScaler()	CustomOrdinalEncoder()

# gives the score rank for each index
# e.g. array([4, 2, 1, 3)
# the 1st iteration (i.e. set of params) was the worst
# the 3rd iteration was the best.
results.trial_rankings

array([21, 19, 49, 42, 36, 11, 38, 41, 44, 34, 51, 47,  6, 13,  3, 37, 26,
       43,  7, 23, 18, 25, 22, 24, 32, 33, 50,  1, 45, 40,  8, 31, 16, 48,
       27, 39, 12, 10, 30, 35, 20, 14, 15,  9, 46,  4, 17, 29, 28,  5,  2])

# gives the 
# e.g. results.best_trial_indexes of array([4, 2, 1, 3)
# would return [2, 1, 4, 0] because trial 2 (i.e. 3rd trial) was the best, so it is the first index;
# and index 0 (i.e. first trial) was the was
results.best_trial_indexes

array([27, 50, 14, 45, 49, 12, 18, 30, 43, 37,  5, 36, 13, 41, 42, 32, 46,
       20,  1, 40,  0, 22, 19, 23, 21, 16, 34, 48, 47, 38, 31, 24, 25,  9,
       39,  4, 15,  6, 35, 29,  7,  3, 17,  8, 28, 44, 11, 33,  2, 26, 10])

BayesSearchCV Performance Over Time

results.plot_performance_across_trials().show()

results.plot_performance_across_trials(size=None, color='C').show()

results.plot_performance_across_trials(size='C', color='scaler').show()

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
/var/folders/7x/wc3jx_91337bggbzk01kpvs40000gn/T/ipykernel_44460/3729232008.py in <module>
----> 1 results.plot_performance_across_trials(size='C').show()

~/repos/python-helpers/helpsk/sklearn_eval.py in plot_performance_across_trials(self, size, color, color_continuous_scale, facet_by, facet_num_col, query, height, width)
   1018                                                                                           ascending=True)
   1019 
-> 1020         fig = px.scatter(
   1021             data_frame=labeled_df,
   1022             x='Trial Index',

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/express/_chart_types.py in scatter(data_frame, x, y, color, symbol, size, hover_name, hover_data, custom_data, text, facet_row, facet_col, facet_col_wrap, facet_row_spacing, facet_col_spacing, error_x, error_x_minus, error_y, error_y_minus, animation_frame, animation_group, category_orders, labels, orientation, color_discrete_sequence, color_discrete_map, color_continuous_scale, range_color, color_continuous_midpoint, symbol_sequence, symbol_map, opacity, size_max, marginal_x, marginal_y, trendline, trendline_options, trendline_color_override, trendline_scope, log_x, log_y, range_x, range_y, render_mode, title, template, width, height)
     64     mark in 2D space.
     65     """
---> 66     return make_figure(args=locals(), constructor=go.Scatter)
     67 
     68 

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/express/_core.py in make_figure(args, constructor, trace_patch, layout_patch)
   2112                 args, trace_spec, group, mapping_labels.copy(), sizeref
   2113             )
-> 2114             trace.update(patch)
   2115             if fit_results is not None:
   2116                 trendline_rows.append(mapping_labels.copy())

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in update(self, dict1, overwrite, **kwargs)
   5082                 BaseFigure._perform_update(self, kwargs, overwrite=overwrite)
   5083         else:
-> 5084             BaseFigure._perform_update(self, dict1, overwrite=overwrite)
   5085             BaseFigure._perform_update(self, kwargs, overwrite=overwrite)
   5086 

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in _perform_update(plotly_obj, update_obj, overwrite)
   3898                     # Update compound objects recursively
   3899                     # plotly_obj[key].update(val)
-> 3900                     BaseFigure._perform_update(plotly_obj[key], val)
   3901                 elif isinstance(validator, CompoundArrayValidator):
   3902                     if plotly_obj[key]:

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in _perform_update(plotly_obj, update_obj, overwrite)
   3919                 else:
   3920                     # Assign non-compound value
-> 3921                     plotly_obj[key] = val
   3922 
   3923         elif isinstance(plotly_obj, tuple):

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in __setitem__(self, prop, value)
   4817                 # ### Handle simple property ###
   4818                 else:
-> 4819                     self._set_prop(prop, value)
   4820             else:
   4821                 # Make sure properties dict is initialized

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in _set_prop(self, prop, val)
   5161                 return
   5162             else:
-> 5163                 raise err
   5164 
   5165         # val is None

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/plotly/basedatatypes.py in _set_prop(self, prop, val)
   5156 
   5157         try:
-> 5158             val = validator.validate_coerce(val)
   5159         except ValueError as err:
   5160             if self._skip_invalid:

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/_plotly_utils/basevalidators.py in validate_coerce(self, v)
    783                     ].tolist()
    784 
--> 785                     self.raise_invalid_elements(some_invalid_els)
    786 
    787             v = v_array  # Always numeric numpy array

~/opt/anaconda3/envs/python-examples/lib/python3.9/site-packages/_plotly_utils/basevalidators.py in raise_invalid_elements(self, invalid_els)
    303     def raise_invalid_elements(self, invalid_els):
    304         if invalid_els:
--> 305             raise ValueError(
    306                 """
    307     Invalid element(s) received for the '{name}' property of {pname}

ValueError: 
    Invalid element(s) received for the 'size' property of scatter.marker
        Invalid elements include: [nan]

    The 'size' property is a number and may be specified as:
      - An int or float in the interval [0, inf]
      - A tuple, list, or one-dimensional numpy array of the above

---

Variable Performance Over Time

results.plot_parameter_values_across_trials().show()

---

Scatter Matrix

results.plot_scatter_matrix(height=800, width=800 * hlp.plot.GOLDEN_RATIO).show()

---

Variable Performance - Numeric

results.plot_performance_numeric_params()

results.plot_parallel_coordinates().show()

---

Variable Performance - Non-Numeric

results.plot_performance_non_numeric_params()

---

Individual Variable Performance

results.plot_score_vs_parameter(
    parameter='C',
    color='scaler'
)

results.plot_score_vs_parameter(
    parameter='C',
    color='encoder'
)

---

Regression on roc_auc Mean

score_variable = results.primary_score_name + ' Mean'

score_dataframe = results.to_dataframe()
score_dataframe = score_dataframe.drop(columns=[x for x in score_dataframe.columns
                              if x not in [score_variable] + results.parameter_names])
score_dataframe.head()

	roc_auc Mean	C	imputer	scaler	encoder
27	0.773619	0.175000	SimpleImputer()	StandardScaler()	OneHotEncoder()
50	0.771631	0.174652	SimpleImputer()	StandardScaler()	OneHotEncoder()
14	0.771423	0.046366	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
45	0.770928	0.237651	SimpleImputer()	StandardScaler()	OneHotEncoder()
49	0.770668	0.022242	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()

cleaned_column_names = [''.join(e for e in x.replace(' ', '_') if e == '_' or e.isalnum()) for x in score_dataframe.columns.tolist()]
cleaned_column_names = dict(zip(score_dataframe.columns.tolist(), cleaned_column_names))
cleaned_column_names

{'roc_auc Mean': 'roc_auc_Mean',
 'C': 'C',
 'imputer': 'imputer',
 'scaler': 'scaler',
 'encoder': 'encoder'}

score_dataframe = score_dataframe.rename(columns=cleaned_column_names)

import statsmodels.formula.api as smf

y_column = 'roc_auc_Mean'
X_columns = score_dataframe.columns.tolist()
X_columns.remove(y_column)
X_columns = hlp.string.collapse(X_columns, separate=" + ", surround="")

formula = f"{y_column} ~ {X_columns}"
print(formula)
model = smf.ols(formula=formula, data = score_dataframe)
results = model.fit()
print(results.summary())

roc_auc_Mean ~ C + imputer + scaler + encoder
                            OLS Regression Results                            
==============================================================================
Dep. Variable:           roc_auc_Mean   R-squared:                       0.735
Model:                            OLS   Adj. R-squared:                  0.705
Method:                 Least Squares   F-statistic:                     24.37
Date:                Sat, 12 Feb 2022   Prob (F-statistic):           1.14e-11
Time:                        17:24:33   Log-Likelihood:                 163.25
No. Observations:                  50   AIC:                            -314.5
Df Residuals:                      44   BIC:                            -303.0
Df Model:                           5                                         
Covariance Type:            nonrobust                                         
======================================================================================================================
                                                         coef    std err          t      P>|t|      [0.025      0.975]
----------------------------------------------------------------------------------------------------------------------
Intercept                                              0.7232      0.005    143.176      0.000       0.713       0.733
imputer[T.SimpleImputer(strategy='median')]           -0.0011      0.005     -0.235      0.815      -0.011       0.008
imputer[T.SimpleImputer(strategy='most_frequent')]    -0.0060      0.003     -1.877      0.067      -0.012       0.000
scaler[T.StandardScaler()]                             0.0035      0.003      1.210      0.233      -0.002       0.009
encoder[T.OneHotEncoder()]                             0.0377      0.004      9.114      0.000       0.029       0.046
C                                                   2.638e-06   4.54e-05      0.058      0.954   -8.88e-05     9.4e-05
==============================================================================
Omnibus:                       17.523   Durbin-Watson:                   1.125
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               21.259
Skew:                          -1.334   Prob(JB):                     2.42e-05
Kurtosis:                       4.757   Cond. No.                         186.
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.

from sklearn.preprocessing import StandardScaler
from sklearn.compose import ColumnTransformer
import pandas as pd

scaler = StandardScaler()
#scaler.fit_transform(bayes_search_df)

numeric_columns = hlp.pandas.get_numeric_columns(score_dataframe)
non_numeric_columns = hlp.pandas.get_non_numeric_columns(score_dataframe)

print(numeric_columns)
print(non_numeric_columns)

numeric_pipeline = Pipeline([
    ('scaling', StandardScaler()),
])

transformations_pipeline = ColumnTransformer([
    ('numeric_pipeline', numeric_pipeline, numeric_columns),
    ('non_numeric_pipeline', 'passthrough', non_numeric_columns)
])

score_dataframe_transformed = transformations_pipeline.fit_transform(score_dataframe)
score_dataframe_transformed = pd.DataFrame(score_dataframe_transformed,
                                           columns= numeric_columns + non_numeric_columns)
score_dataframe_transformed.head()

['roc_auc_Mean', 'C']
['imputer', 'scaler', 'encoder']

	roc_auc_Mean	C	imputer	scaler	encoder
0	1.151779	-0.423727	SimpleImputer()	StandardScaler()	OneHotEncoder()
1	1.040178	-0.423738	SimpleImputer()	StandardScaler()	OneHotEncoder()
2	1.028505	-0.42771	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()
3	1.000682	-0.421788	SimpleImputer()	StandardScaler()	OneHotEncoder()
4	0.986078	-0.428457	SimpleImputer(strategy='most_frequent')	StandardScaler()	OneHotEncoder()

score_dataframe_transformed['roc_auc_Mean'] = score_dataframe_transformed['roc_auc_Mean'].astype('float')
score_dataframe_transformed['C'] = score_dataframe_transformed['C'].astype('float')

print(formula)
model = smf.ols(formula=formula,
                data = score_dataframe_transformed)
results = model.fit()
print(results.summary())

roc_auc_Mean ~ C + imputer + scaler + encoder
                            OLS Regression Results                            
==============================================================================
Dep. Variable:           roc_auc_Mean   R-squared:                       0.735
Model:                            OLS   Adj. R-squared:                  0.705
Method:                 Least Squares   F-statistic:                     24.37
Date:                Sat, 12 Feb 2022   Prob (F-statistic):           1.14e-11
Time:                        17:24:35   Log-Likelihood:                -38.138
No. Observations:                  50   AIC:                             88.28
Df Residuals:                      44   BIC:                             99.75
Df Model:                           5                                         
Covariance Type:            nonrobust                                         
======================================================================================================================
                                                         coef    std err          t      P>|t|      [0.025      0.975]
----------------------------------------------------------------------------------------------------------------------
Intercept                                             -1.6772      0.286     -5.871      0.000      -2.253      -1.101
imputer[T.SimpleImputer(strategy='median')]           -0.0621      0.264     -0.235      0.815      -0.594       0.470
imputer[T.SimpleImputer(strategy='most_frequent')]    -0.3372      0.180     -1.877      0.067      -0.699       0.025
scaler[T.StandardScaler()]                             0.1961      0.162      1.210      0.233      -0.130       0.523
encoder[T.OneHotEncoder()]                             2.1138      0.232      9.114      0.000       1.646       2.581
C                                                      0.0048      0.082      0.058      0.954      -0.161       0.170
==============================================================================
Omnibus:                       17.523   Durbin-Watson:                   1.125
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               21.259
Skew:                          -1.334   Prob(JB):                     2.42e-05
Kurtosis:                       4.757   Cond. No.                         7.94
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.

coefficients = pd.DataFrame({
    'feature': results.params.index,
    'coefficient': results.params,
    'p_value': results.pvalues,
})
coefficients = coefficients.query("feature != 'Intercept'")
coefficients['Stat Sig'] = coefficients['p_value'] <= 0.05
coefficients

	feature	coefficient	p_value	Stat Sig
imputer[T.SimpleImputer(strategy='median')]	imputer[T.SimpleImputer(strategy='median')]	-0.062118	8.150377e-01	False
imputer[T.SimpleImputer(strategy='most_frequent')]	imputer[T.SimpleImputer(strategy='most_frequen...	-0.337201	6.720605e-02	False
scaler[T.StandardScaler()]	scaler[T.StandardScaler()]	0.196125	2.326576e-01	False
encoder[T.OneHotEncoder()]	encoder[T.OneHotEncoder()]	2.113756	1.079491e-11	True
C	C	0.004783	9.538768e-01	False

score_variable

'roc_auc Mean'

px.bar(
    data_frame=coefficients.reindex(coefficients['coefficient'].abs().sort_values(ascending=True).index),
    y='feature',
    x='coefficient',
    color='Stat Sig',
    title=f"Regression Coefficients of Hyper-parameters against '{score_variable}'",
    height=600,
    width=600*hlp.plot.GOLDEN_RATIO
)

Feature Importance

https://scikit-learn.org/stable/auto_examples/ensemble/plot_forest_importances.html

from sklearn.inspection import permutation_importance

forest = bayes_search.best_estimator_['model']

start_time = time.time()
result = permutation_importance(
    bayes_search.best_estimator_, X_train, y_train, n_repeats=10, random_state=42, n_jobs=2
)
elapsed_time = time.time() - start_time
print(f"Elapsed time to compute the importances: {elapsed_time:.3f} seconds")

feature_names = X_train.columns.to_list()
forest_importances = pd.Series(result.importances_mean, index=feature_names)
forest_importances = forest_importances.sort_values(ascending=False)

Elapsed time to compute the importances: 3.138 seconds

import matplotlib.pyplot as plt
fig, ax = plt.subplots()
forest_importances.plot.bar(yerr=result.importances_std, ax=ax)
ax.set_title("Feature importances using permutation on full model")
ax.set_ylabel("Mean accuracy decrease")
fig.set_size_inches(9, 6)
fig.tight_layout()
plt.show()

temp = X_train.copy()
temp['default'] = y_train
temp.groupby('foreign_worker').agg({'default': np.mean})

	default
foreign_worker
yes	0.308290
no	0.107143

fig = px.box(
    data_frame=temp,
    y='age',
    x='default',
#    size=size_variable,
#    color=color_variable,
#    trendline='lowess',
#     labels={
#         score_variable: f"Average Cross Validation Score ({parser.primary_score_name})",
#     },
#     title=f"<b>{x_variable}</b> - Performance<br>" \
#           f"<sup>Size of point corresponds to '{size_variable}'</sup>",
#     custom_data=['labels'],
    height=600,
    width=600*hlp.plot.GOLDEN_RATIO
)
fig.show()

NOTE: foreign worker seems like it should be important but is ranked last in feature importance.